Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex]1 + 2 \\ = 3[/tex]
The prom is in need of a floral archway, such as the one below. Segment RC is the perpendicular bisector of segment AH. If AH=6 and RC=2, then determine the diameter of the circle that contains AH. (section 10.6 question 5 in geometry math nation)
Answer:
Diameter of the circle = 7
Step-by-step explanation:
The exact question is as follows :
Given - The prom is in need of a floral archway, such as the one below. Segment RC is the perpendicular bisector of segment AH. If AH=6 and RC=2
To find - determine the diameter of the circle that contains AH.
Proof -
Given that,
AH = 6
RC = 2
Let us denote,
CB = x
So,
RB is the radius of the circle. It gives the value x + 2
As AH = 6
⇒AC = CH = 3
Also,
BH is the radius,
So, BH = x + 2
Now,
In triangle CBH,
BH² = CB² + HC²
⇒(x+2)² = x² + 3²
⇒x²+2² + 4x = x² + 9
⇒4 + 4x = 9
⇒4x = 9 - 4
⇒4x = 5
⇒x = 5÷4
⇒x = 1.5
So,
Radius = x + 2
= 1.5 + 2 = 3.5
⇒Radius = 3.5
As we know,
Diameter = 2×Radius
= 2×3.5
= 7
⇒Diameter of the circle = 7
The Pythagoras is the sum of the square of two sides is equal to the square of the longest side. Then the diameter of the circle is 6.5 units.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
The prom is in need of a floral archway, such as the one below.
Segment RC is the perpendicular bisector of segment AH.
If AH = 6 and RC = 2.
Let CB be x.
Then the radius RB will be x + 2
BH = x + 2
Then by the Pythagoras theorem, we have
BH² = CB² + HC²
⇒ (x + 2)² = x² + 3²
⇒x² + 4 +4x = x² + 9
⇒ 4x = 5
⇒ x = 1.25
The radius will be
r = x + 2
r = 1.25 + 2
r = 3.25
Then the diameter will be
Diameter = 2 × r
Diameter = 2 × 3.25
Diameter = 6.5
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
9k - 18 = - 6 Can you help with this Plzzzz!!!
Answer:
Step-by-step explanation:
im assuming were solving for k so we wanna get it by itself
9k - 18 = -6
start by adding 18 to both sides
9k = 12
then divide both sides by 9
k = 12/9
hope this helps <3
Answer:
the answer is
k= 4/3
Step-by-step explanation:
9k-18=-6
9k=-6+18
9k=12
k= 12/9
simplify it which gives k=4/3 or in decimal form 1.333
A line passes through the points (4, 9) and (-9, -5).
Find the slope of the line.
Answer:
14/13=1.08 (rounded up)
Step-by-step explanation: Change in Y/ Change in x
Which of these describes a unique polygon?
A quadrilateral with 3 sides lengths 5 inches long
A triangle with a side length of 6 inches, 7 inches, and 8 inches
A triangle with angles 30, 60, and 90
A triangle with side lengths 5 cm and 4 cm and a 70 angle
While developing x-bar and R charts, the manager took 10 samples each of size 6. The average of sample means was 3.2. The average range value was 0.6. What will be the value of UCL for the R-chart?
a. 1.2
b. 1.4
c. 1.5
d. 1.7
Answer:
Option a. 1.2 is the correct answer
Step-by-step explanation:
Given the data in the question;
sample size n = 10
sub group = 6
The average of sample means x" = 3.2
Average range value R' = 0.6
the value of UCL for the R-chart = ?
To get the value of UCL for the R-chart, we say;
[tex]UCL_R[/tex] = D₄ × R'
from table of constants "Tabular values for x-bar and range charts
for size 6, the factor for control limits for range D₄ = 2.004
so we substitute
[tex]UCL_R[/tex] = 2.004 × 0.6
[tex]UCL_R[/tex] = 1.2024 ≈ 1.2
Hence, Option a. 1.2 is the correct answer.
Determine if events A and B are independent.
P(A) = 9/20 P(B) = 7/10 P(A and B) = 63/200
A) Dependent
B) Independent
Answer:
B) Independent
Step-by-step explanation:
Independent events:
Two events, A and B are independent, if:
[tex]P(A \cap B) = P(A) \times P(B)[/tex]
In this question:
[tex]P(A \cap B) = \frac{63}{200}[/tex]
[tex]P(A) \times P(B) = \frac{9}{20}*\frac{7}{10} = \frac{9*7}{20*10} = \frac{63}{200}[/tex]
Since [tex]P(A \cap B) = P(A) \times P(B)[/tex], these events are independent.
Evan and two friends go to a farm to pick strawberries. Evan records the number of baskets of strawberries that each person picks in a table.
Evan forgot to record how many strawberries he picked, but he knows that it was the same amount as Jerry and Ann combined.
hi they but you didn't put the number in for jerry and ann
Step-by-step explanation:
add ann and jerry E= 15 + 12 = 27 so that means that Evan is picked 27 strawberries
Solve for the angle denoted by the "?". Round to the nearest tenth.
====================================================
Explanation:
Let x be the reference angle where the question mark is located.
Opposite this angle x is 27. The adjacent side is 38.
Use the tangent ratio to tie the two sides together
tan(angle) = opposite/adjacent
tan(x) = 27/38
x = arctan(27/38)
x = 35.3947958 .... which is approximate
x = 35.4
Be sure that your calculator is in degree mode. The notation "arctan" refers to "arctangent" which is the same as inverse tangent. Your calculator should have a button labeled [tex]\tan^{-1}[/tex] to help compute this.
34 is not solution because it is less than 35
Answer:
True very true
Step-by-step explanation:
Name the special segment.
Answer:
Perpendicular bisector
Step-by-step explanation:
Have a great day!!
HELP ME PLEASEEEEEEEEEEEEE
Answer:
406
Step-by-step explanation:
hii :)
so to find the area we're going to find the area of the shapes and add them.
both 14 by 7 faces: 98*2=196
both 5 by 14 faces: 70*2=140
both little squares: they are 7 by 5 because the first shape would fold over so they would be equal. 35*2=70
adding them together: 196+140+70=406
hope this helped!
Hi help me out thank youu love
Answer:
636
Step-by-step explanation:
SA=2LW+2LH+2WH
SA= 2(12)(10)+2(12)(9)+2(10)(9)= 636
Answer:
The answer is 636
Step-by-step explanation:
Brainliest maybe?
:)
3 2/3 - 1 1/4 what’s the answer
Answer:
95/12 as an improper fraction.
Answer:
[tex]\frac{29}{12}[/tex] or 2 [tex]\frac{5}{12}[/tex]
Step-by-step explanation:
What is the area of the triangle?
Answer:
144.5
Step-by-step explanation:
Area of a triangle = one half of the base length times the height
The given base length is 17 cm and the given height is 17 cm
Hence, area = [tex]\frac{17*17}{2}[/tex]
17 * 17 = 289
289 / 2 = 144.5
Area = 144.5cm²
Answer: 144.5
Step-by-step explanation:
The answer is correct because, the formula of a triangle is base times height divided by 2. Since the base and height is 17, we multiply 17 times 17. The answer for 17 times is: 289. Now we have to divide it by two. 289 divided by 2 equals: 144.5.
Hope This Helps!
Factor 6x^2 + x − 2
Answer:
(2−1)(3+2)
Step-by-step explanation:
Rewrite in product form
2x(3x+2) - 1(3x+2)
(2x-1) (3x+2)
By what percent will the product of two numbers decrease if one of them is decreased by 20% and the other is decreased by 50%?
Answer:
(x - .20)(x - .50)
[tex]x^{2}[/tex] = (.20)(.50)
[tex]x^{2}[/tex] = 0.1
x = [tex]\sqrt{ .1[/tex]
x = .32
the product of two numbers decrease by 32%
Complete the table to find the MAD of the data set.
Answer:
15
Step-by-step explanation:
Justin bought 4 dozen
cupcakes for a party. How
many cupcakes did he buy?
Answer:
48
Step-by-step explanation:
One dozen is 12.
12 x 4 = 48
Find the value of x. Round the length to the nearest tenth of a unit.
Please help!
Answer:
take 40 degree as reference angle
using tan rule
tan 40 =p/b
0.83=900/x
0.83x=900
x=900/0.83
x=1084.33
x=1084.3(after rounding off to the nearest tenth)
Step-by-step explanation:
Please help me answer this ASAP!
Answer: z=25 x=114
Step-by-step explanation:
Why did the farmer open a bakery?
Answer:
yes
Step-by-step explanation:
yes
Answer:
Step-by-step explanation:
Farmers usually open bakery's to sell their produce or ship them to grocery stores like Walmart, Cosco, etc. I hope this answered your question since I don't quite understand...
Why did the physiocrats oppose mercantilism?
The physiocrats wanted a nation to import more goods than it exported.
The physiocrats thought that nations should accumulate bronze, not gold and silver.
Mercantilism worked for the common good.
Mercantilism allowed for government regulation of trade, which interfered with natural market forces.
Answer:
Mercantilism allowed for government regulation of trade, which interfered with natural market forces.
Can you help me with this, please? Thanks in advance
Answer:
∠TRU is supplementary with ∠PQS as SQ║TR.
Supplementary angles add up to 180°.
m∠TRU = 180° - 82° = 98°Consider ΔRTU
∠RUV is exterior angle and therefore is sum of ∠TRU and ∠RTU:
m∠TRU + m∠RTU = m∠RUV98° + m∠RTU = 155°m∠RTU = 155° - 98° = 57°<TRU
180-<PQS180-8298°Sum of 2 interiors =exterior
<RTU
155-9857°Is 4_4 greater than 7_8
Answer:
Yes
Step-by-step explanation:
4/4 is the same thing as 4 divided by 4 which equals 1
7/8 is the same thing as 7 divided by 8 which equals 0.875
Since 1 > 0.875, 4/4 > 7/8
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Write the equation of the line that passes through the points (8, -1) and (2,-5) in standard form, given that the point- slope form is y + 1 = (x – 8).
Answer:
B?
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Answer:
The answer is 2x + -3y = 19
Step-by-step explanation:
no idea what the guy on top is saying
What is the value of this expression?
-9= 3 x [6 x 3 – (1 + 4)]
A. -63
B. -59
O C. -51
D. -39
Answer:
I think it's -51
Step-by-step explanation:
I'm not entirely sure. But it is my best guess.
Help with this question!Please
Step-by-step explanation:
The given angle is a 90° . Therefore the sum of both angles is 90° .
> 40 + x = 90
> x = 90 - 40
> x = 50
Solution 2 ;-
> 20 + x = 90
> x = 70
Find one value of x for which h(x)=4 and find h(4)
What is the area of this figure?
Answer:
416
Step-by-step explanation:
since this is a trapezoid, you would calculate the area by the formula
(a+b )h/2 where h is the height and a and b are the 2 bases
When you plug the values in you get the answer as 416
Hope this Helps!
y″+ 5y′ + 6y = 3δ(t − 2) − 4δ(t −5); y(0) = y′′(0) = 0
Answer:
y(t) = 3u₂(t) [ [tex]e^{-2t+4} - e^{-5t + 10)}[/tex] ] - 4u₅(t) [ [tex]e^{-2t+10)} - e^{-5t + 25)}[/tex] ]
Step-by-step explanation:
To find - y″+ 5y′ + 6y = 3δ(t − 2) − 4δ(t −5); y(0) = y′(0) = 0
Formula used -
L{δ(t − c)} = [tex]e^{-cs}[/tex]
L{f''(t) = s²F(s) - sf(0) - f'(0)
L{f'(t) = sF(s) - f(0)
Solution -
By Applying Laplace transform, we get
L{y″+ 5y′ + 6y} = L{3δ(t − 2) − 4δ(t −5)}
⇒L{y''} + 5L{y'} + 6L{y} = 3L{δ(t − 2)} − 4L{δ(t −5)}
⇒s²Y(s) - sy(0) - y'(0) + 5[sY(s) - y(0)] + 6Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒s²Y(s) - 0 - 0 + 5[sY(s) - 0] + 6Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒s²Y(s) + 5sY(s) + 6Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒[s² + 5s + 6] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒[s² + 3s + 2s + 6] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒[s(s + 3) + 2(s + 3)] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒[(s + 2)(s + 3)] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒Y(s) = [tex]\frac{3e^{-2s} }{(s + 2)(s + 3)} - \frac{4e^{-5s} }{(s + 2)(s + 3)}[/tex]
Now,
Let
[tex]\frac{1}{(s+2)(s+3)} = \frac{A}{s+2} + \frac{B}{s+3} \\\frac{1}{(s+2)(s+3)} = \frac{A(s + 3) + B(s+2)}{(s+2)(s+3)}\\1 = As + 3A + Bs + 2B\\1 = (A+B)s + (3A + 2B)[/tex]
By Comparing, we get
A + B = 0 and 3A + 2B = 1
⇒A = -B
and
3(-B) + 2B = 1
⇒-B = 1
⇒B = -1
So,
A = 1
∴ we get
[tex]\frac{1}{(s+2)(s+3)} = \frac{1}{s+2} + \frac{-1}{s+3}[/tex]
So,
Y(s) = [tex]3e^{-2s}[ \frac{1}{(s + 2)} - \frac{1}{(s + 3)}] - 4e^{-5s}[ \frac{1}{(s + 2)} - \frac{1}{(s + 3)}][/tex]
⇒Y(s) = [tex]3e^{-2s} \frac{1}{(s + 2)} - 3e^{-2s} \frac{1}{(s + 3)} - 4e^{-5s}\frac{1}{(s + 2)} + 4e^{-5s}\frac{1}{(s + 3)}[/tex]
By applying inverse Laplace , we get
y(t) = 3u₂(t) [ [tex]e^{-2(t-2)} - e^{-5(t - 2)}[/tex] ] - 4u₅(t) [ [tex]e^{-2(t-5)} - e^{-5(t - 5)}[/tex] ]
⇒y(t) = 3u₂(t) [ [tex]e^{-2t+4} - e^{-5t + 10)}[/tex] ] - 4u₅(t) [ [tex]e^{-2t+10)} - e^{-5t + 25)}[/tex] ]
It is the required solution.